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The nonlinear transformation of an external noisy signal by an array of noninteracting elements with internal noise is considered. The array simulates a neuronal system that processes spike trains. It is shown that increasing the number of array elements entails significant extending of the stochastic synchronization region and improvement of the signal-to-noise ratio (SNR). The effects are demonstrated for arrays of triggers, overdamped bistable oscillators, and Fitzhugh-Nagumo systems. The interrelation between SNR improvement and the efficiency of information processing is discussed.

Array enhancement of stochastic synchronization and signal-to-noise ratio gain in the nonlinear regime of signal transmission